M.C.Q (1 Marks)

MCQ 11 Mark

The current in the arm $CD$ of the circuit will be

A
$\mathrm{i}_1+\mathrm{i}_2$
✓
$i_2+i_3$
C
$i_1+i_3$
D
$i_1-i_2+i_3$

Answer

Correct option: B.

$i_2+i_3$

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MCQ 21 Mark

Which arrangement of four identical resistances should be used to draw maximum energy from a cell of voltage $V$

Answer

Correct option: B.

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MCQ 31 Mark

Three equal resistances each of value $R$ are joined as shown in the figure. The equivalent resistance between $M$ and $N$ is

A
$R$
B
$2 R$
C
$\frac{\mathrm{R}}{2}$
✓
$\frac{\mathrm{R}}{3}$

Answer

Correct option: D.

$\frac{\mathrm{R}}{3}$

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MCQ 41 Mark

In the circuit shown in the figure, the current through

A
The $3 \Omega$ resistor is $0.50A$
B
The $3 \Omega$ resistor is $0.25 A$
C
The $4 \Omega$ resistor is $0.50A$
✓
The $4 \Omega$ resistor is $0.25 A$

Answer

Correct option: D.

The $4 \Omega$ resistor is $0.25 A$

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MCQ 51 Mark

The resistance between the terminal points $A$ and $B$ of the given infinitely long circuit will be

A
$(\sqrt{3}-1)$
B
$(1- \sqrt{3})$
✓
$(1+ \sqrt{3})$
D
$(2+\sqrt{3})$

Answer

Correct option: C.

$(1+ \sqrt{3})$

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MCQ 61 Mark

The resistance of a coil is $4.2 \Omega$ at $100^{\circ} \mathrm{C}$ and the temperature coefficient of resistance of its material is $0.004 /{ }^{\circ} \mathrm{C}$. Its resistance at $0^{\circ} \mathrm{C}$ is

A
$6.5 \Omega$
B
$5 \Omega$
✓
$3 \Omega$
D
$4 \Omega$

Answer

Correct option: C.

$3 \Omega$

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MCQ 71 Mark

Variation of current and voltage in a conductor has been shown in the diagram below. The resistance of the conductor is

A
$4$ ohm
B
$2$ ohm
C
$3$ ohm
✓
$1$ ohm

Answer

Correct option: D.

$1$ ohm

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MCQ 81 Mark

Seven resistances are connected as shown in the figure. The equivalent resistance between $A$ and $B$ is

A
$3 \Omega$
✓
$4 \Omega$
C
$4.5 \Omega$
D
$5 \Omega$

Answer

Correct option: B.

$4 \Omega$

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MCQ 91 Mark

When a current $I$ is passed through a wire of constant resistance, it produces a potential difference $V$ across its ends. The graph drawn between $\log I$ and $\log V$ will be

Answer

Correct option: A.

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MCQ 101 Mark

Variation of current passing through a conductor as the voltage applied across its ends as varied is shown in the adjoining diagram. If the resistance $(R)$ is determined at the points $A, B, C$ and $D,$ we will find that

A
$R_C=R_D$
B
$R_B>R_A$
C
$R_C>R_B$
✓
None of these

Answer

Correct option: D.

None of these

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MCQ 111 Mark

In the circuit shown below $\mathrm{E}_1=4.0 \mathrm{~V}, \mathrm{R}_1=2 \Omega, \mathrm{E}_2=6.0 \mathrm{~V}, \mathrm{R}_2=4 \Omega$ and $\mathrm{R}_3=2 \Omega$. The current $\mathrm{I}_1$ is

A
$1.6 A$
✓
$ 1.8 A$
C
$ 1.25 A$
D
$ 1.0 A$

Answer

Correct option: B.

$ 1.8 A$

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MCQ 121 Mark

The potential difference across the $100\Omega$ resistance in the following circuit is measured by a voltmeter of $900\Omega$ resistance. The percentage error made in reading the potential difference is

A
$\frac {10}{9}$
B
$0.1$
✓
$1.0$
D
$10.0$

Answer

Correct option: C.

$1.0$

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MCQ 131 Mark

In the circuit shown, a meter bridge is in its balanced state. The meter bridge wire has a resistance $0.1\ ohm/cm$. The value of unknown resistance $X$ and the current drawn from the battery of negligible resistance is

A
$6 W, 5$ amp
B
$10 W, 0.1$ amp
✓
$4 W, 1.0$ amp
D
$12 W, 0.5$ amp

Answer

Correct option: C.

$4 W, 1.0$ amp

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MCQ 141 Mark

If in the circuit shown below, the internal resistance of the battery is $1.5 \Omega$ and $\mathrm{V}_{\mathrm{P}}$ and $\mathrm{V}_{\mathrm{Q}}$ are the potentials at $P$ and $Q$ respectively, what is the potential difference between the points $P$ and $Q$

A
Zero
B
$4$ volts $\left(V_P>V_Q\right)$
C
$4$ volts $\left(V_Q>V_P\right)$
✓
$2.5$ volts $\left(V_Q>V_P\right)$

Answer

Correct option: D.

$2.5$ volts $\left(V_Q>V_P\right)$

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MCQ 151 Mark

$AB$ is a potentiometer wire of length $100 \ cm$ and its resistance is $10$ ohms. It is connected in series with a resistance $R = 40$ ohms and a battery of $\text{e.m.f.}\ 2 V$ and negligible internal resistance. If a source of unknown $\text{e.m.f.} \ E$ is balanced by $40 \ cm$ length of the potentiometer wire, the value of $E$ is

A
$0.8 V$
B
$1.6 V$
C
$0.08 V$
✓
$0.16 V$

Answer

Correct option: D.

$0.16 V$

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MCQ 161 Mark

Resistance as shown in figure is negative at

✓
$A$
B
$B$
C
$C$
D
None of these

Answer

Correct option: A.

$A$

$A $

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MCQ 171 Mark

In the given circuit, with steady current, the potential drop across the capacitor must be

A
$V$
B
$V / 2$
✓
$V / 3$
D
$2V / 3$

Answer

Correct option: C.

$V / 3$

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MCQ 181 Mark

In the circuit, the reading of the ammeter is $($assume internal resistance of the battery be zero$)$

A
$\frac{40}{29} A$
B
$\frac{10}{9} A $
C
$\frac{5}{3} A$
✓
$2 A$

Answer

Correct option: D.

$2 A$

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MCQ 191 Mark

In the given current distribution what is the value of $I$

A
$3A$
B
$8 A$
✓
$2A$
D
$5A$

Answer

Correct option: C.

$2A$

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MCQ 201 Mark

In the shown circuit, what is the potential difference across $A$ and $B$

A
$50 V$
B
$45 V$
C
$30 V$
✓
$20 V$

Answer

Correct option: D.

$20 V$

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MCQ 211 Mark

The current in the given circuit is

✓
$0.1 A$
B
$0.2 A$
C
$0.3 A$
D
$0.4 A$

Answer

Correct option: A.

$0.1 A$

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MCQ 221 Mark

In the adjoining circuit, the battery $E_1$ has an $\text{e.m.f}$ of $12$ volt and zero internal resistance while the battery $E$ has an $\text{e.m.f}$ of $2$ volt. If the galvanometer $G$ reads zero, then the value of the resistance $X$ in ohm is

A
$10$
✓
$100$
C
$500$
D
$200$

Answer

Correct option: B.

$100$

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MCQ 231 Mark

Express which of the following setups can be used to verify Ohm’s law

Answer

Correct option: A.

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MCQ 241 Mark

In the given circuit, the voltmeter records $5$ volts. The resistance of the voltmeter in ohms is

A
$200$
✓
$100$
C
$10$
D
$50$

Answer

Correct option: B.

$100$

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MCQ 251 Mark

The figure shows a network of currents. The magnitude of currents is shown here. The current $I$ will be

A
$3 A$
B
$9 A$
✓
$13 A$
D
$19 A$

Answer

Correct option: C.

$13 A$

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MCQ 261 Mark

An electron $($charge $=1.6 \times 10^{-19}$ coulomb$)$ is moving in a circle of radius $5.1 \times 10^{-11} \mathrm{~m}$ at a frequency of $6.8 \times 10^{15}$ revolutions $/ \mathrm{sec}$. The equivalent current is approximately

A
$5.1 \times 10^{-3} \ce{amp}$
B
$6.8 \times 10^{-3} \ce{amp}$
✓
$1.1 \times 10^{-3} \ce{amp}$
D
$2.2 \times 10^{-3} \ce{amp}$

Answer

Correct option: C.

$1.1 \times 10^{-3} \ce{amp}$

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MCQ 271 Mark

In the adjoining circuit diagram each resistance is of $10 W$. The current in the arm $AD$ will be

✓
$\frac{2 i }{5}$
B
$\frac{3 i }{5}$
C
$\frac{4 i }{5}$
D
$\frac{ i }{5} $

Answer

Correct option: A.

$\frac{2 i }{5}$

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MCQ 281 Mark

The equivalent resistance between the points $P$ and $Q$ in the network given here is equal to $($given $r = \frac{3}{2} \Omega)$

A
$\frac{1}{2} \Omega$
✓
$1 W$
C
$\frac{3}{2} \Omega$
D
$2 W$

Answer

Correct option: B.

$1 W$

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MCQ 291 Mark

In the circuit shown here, $E_1=E_2=E_3=2 \mathrm{~V}$ and $R_1=R_2=4 \ \ce{ohms}.$ The current flowing between points $A$ and $B$ through battery $E_2$ is

A
Zero
✓
$2 \ \ce{amp}$ from $A$ to $B$
C
$ 2 \ \ce{amp}$ from $B$ to $A$
D
None of the above

Answer

Correct option: B.

$2 \ \ce{amp}$ from $A$ to $B$

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MCQ 301 Mark

A cylindrical conductor has uniform cross$-$section. Resistivity of its material increase linearly from left end to right end. If a constant current is flowing through it and at a section distance $x$ from left end, magnitude of electric field intensity is $E,$ which of the following graphs is correct

Answer

Correct option: B.

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MCQ 311 Mark

In the circuit shown, the value of each resistance is $r,$ then equivalent resistance of circuit between points $A$ and $B$ will be

A
$(4/3) r$
B
$3r / 2$
C
$r / 3 $
✓
$8r/7$

Answer

Correct option: D.

$8r/7$

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MCQ 321 Mark

For the post office box arrangement to determine the value of unknown resistance the unknown resistance should be connected between

A
$B$ and $C$
B
$C$ and $D$
✓
$A$ and $D$
D
$\mathrm{B}_1$ and $\mathrm{C}_1$

Answer

Correct option: C.

$A$ and $D$

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MCQ 331 Mark

Consider the circuits shown in the figure. Both the circuits are taking same current from battery but current through $R$ in the second circuit is $\frac{1}{10}^{th}$ of current through $R$ in the first circuit. If $R$ is $11 \Omega$, the value of $R_1$

✓
$9.9 \Omega$
B
$11 \Omega$
C
$8.8 \Omega$
D
$7.7 \Omega$

Answer

Correct option: A.

$9.9 \Omega$

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MCQ 341 Mark

If the ammeter in the given circuit reads $2 A,$ the resistance $R$ is

✓
$1$ ohm
B
$2$ ohm
C
$3$ ohm
D
$4$ ohm

Answer

Correct option: A.

$1$ ohm

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MCQ 351 Mark

A wire of length $100 \ cm$ is connected to a cell of emf $2\ V$ and negligible internal resistance. The resistance of the wire is $3\Omega$. The additional resistance required to produce a potential drop of $1$ milli volt per cm is

A
$60\Omega$
B
$47\Omega$
✓
$57\Omega$
D
$35\Omega$

Answer

Correct option: C.

$57\Omega$

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MCQ 361 Mark

The resistance of a galvanometer coil is $R$. What is the shunt resistance required to convert it into an ammeter of range $4$ times

A
$\frac{\mathrm{R}}{5}$
B
$\frac{\mathrm{R}}{4}$
✓
$\frac{\mathrm{R}}{3}$
D
$4 R$

Answer

Correct option: C.

$\frac{\mathrm{R}}{3}$

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MCQ 371 Mark

In the following Wheatstone bridge $P/Q = R/S.$ If key $K$ is closed, then the galvanometer will show deflection

A
In left side
B
In right side
C
No deflection
✓
In either side

Answer

Correct option: D.

In either side

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MCQ 381 Mark

$I-V$ characteristic of a copper wire of length $L$ and area of cross$-$section $A$ is shown in figure. The slope of the curve becomes

A
More if the experiment is performed at higher temperature
B
More if a wire of steel of same dimension is used
C
More if the length of the wire is increased
✓
Less if the length of the wire is increased

Answer

Correct option: D.

Less if the length of the wire is increased

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MCQ 391 Mark

A resistance of $4 \Omega$ and a wire of length $5$ metres and resistance $5 \Omega$ are joined in series and connected to a cell of $\text{e.m.f.} 10 V$ and internal resistance $1 \Omega.$ A parallel combination of two identical cells is balanced across $300 \ cm$ of the wire. The $\text{e.m.f. E}$ of each cell is

A
$1.5\ V$
✓
$3.0\ V$
C
$0.67\ V$
D
$1.33\ V$

Answer

Correct option: B.

$3.0\ V$

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MCQ 401 Mark

Two batteries, one of emf $18$ volts and internal resistance $2\Omega$ and the other of emf $12$ volt and internal resistance $1 \Omega,$ are connected as shown. The voltmeter $V$ will record a reading of

A
$15$ volt
B
$30$ volt
✓
$14$ volt
D
$18$ volt

Answer

Correct option: C.

$14$ volt

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MCQ 411 Mark

Find out the value of current through $2 \Omega$ resistance for the given circuit

A
$5 A$
B
$2 A$
✓
Zero
D
$4 A$

Answer

Correct option: C.

Zero

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MCQ 421 Mark

The measurement of voltmeter in the following circuit is

A
$2.4 V $
B
$3.4 V$
C
$4.0 V $
✓
$6.0 V$

Answer

Correct option: D.

$6.0 V$

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MCQ 431 Mark

In the diagram shown, the reading of voltmeter is $20 V$ and that of ammeter is $4 A$. The value of $R$ should be $($Consider given ammeter and voltmeter are not ideal$)$

A
Equal to $5 \Omega$
B
Greater from $5 \Omega$
✓
Less than $5 \Omega$
D
Greater or less than $5 \Omega$ depends on the material of $R$

Answer

Correct option: C.

Less than $5 \Omega$

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MCQ 441 Mark

The internal resistances of two cells shown are $0.1 \Omega$ and $0.3 \Omega$. If $R = 0.2 \Omega,$ the potential difference across the cell

✓
$B$ will be zero
B
$A$ will be zero
C
$A$ and $B$ will be $2V$
D
$A$ will be $> 2V$ and $B$ will be $< 2V$

Answer

Correct option: A.

$B$ will be zero

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MCQ 451 Mark

In circuit shown below, the resistances are given in $\ce{ohms}$ and the battery is assumed ideal with emf equal to $3$ volt. The voltage across the resistance $R_4$ is